数学与计算机科学 |
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一类高阶非线性非自治动态方程的动力学性质 |
张萍1, 杨甲山2 |
1.邵阳学院 理学院,湖南 邵阳 422004 2.梧州学院 大数据与软件工程学院,广西 梧州 543002 |
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Dynamical properties of certain higher-order nonlinear nonautonomous dynamic equations |
ZHANG Ping1, YANG Jiashan2 |
1.School of Science,Shaoyang University,Shaoyang 422004,Hunan Province,China 2.School of Data Science and Software Engineering,Wuzhou University,Wuzhou 543002,Guangxi Zhuang Autonomous Region,China |
1 SCHOT S H.Jerk:The time rate of change of acceleration[J]. Am J Phys,1978,46(11):1090-1094.DOI:10.1119/1.11504 2 BOHNER M,PETERSON A.Dynamic Equations on Time-Scales:An Introduction with Applications[M]. Boston:Birkhauser,2001. 3 AGARWAL R P,BOHNER M,LI W T.Nonoscillation and Oscillation:Theory for Functional Differential Equations[M].New York:Marcel Dekker,2004. 4 张全信,高丽,刘守华.时间尺度上具阻尼项的二阶半线性时滞动力方程振动性的新结果[J].中国科学( 数学),2013,43(8):793-806. DOI:10.1360/012012-392 ZHANG Q X,GAO L,LIU S H.New oscillation criteria for second-order half-linear delay dynamic equations with damping on time scales[J].SCIENTIA SINICA Mathematica,2013,43:793-806. DOI:10.1360/012012-392 5 杨甲山.时间测度链上一类二阶Emden-Fowler型动态方程的振荡性[J].应用数学学报,2016,39(3):334-350. YANG J S.Oscillation for a class of second-order Emden-Fowler dynamic equations on time scales[J].Acta Mathematicae Applicatae Sinica,2016,39(3):334-350. 6 杨甲山.时间模上一类二阶非线性延迟动力系统的振动性分析[J].应用数学学报,2018,41(3):388-402. YANG J S.Oscillation analysis of second-order nonlinear delay dynamic equations on time scales[J].Acta Mathematicae Applicatae Sinica,2018,41(3):388-402. 7 杨甲山,覃桂茳.一类二阶微分方程新的Kamenev型振动准则[J].浙江大学学报(理学版),2017,44(3):274-280. DOI:10.3785/j.issn.1008-9497.2017.03.005 YANG J S,QIN G J. Kamenev-type oscillation criteria for certain second-order differential equations[J].Journal of Zhejiang University(Science Edition),2017,44(3):274-280.DOI:10.3785/j.issn.1008-9497.2017.03.005 8 YANG J S.Oscillation of third-order delay dynamic equations on time scales[J].Chinese Quarterly Journal of Mathematics,2014,29(3):447-456. DOI:10.3969/j.issn.1002-0462.2014.03.016 9 QIU Y C,ZADA A,QIN H,et al.Oscillation criteria for nonlinear third-order neutral dynamic equations with damping on time scales[J].Journal of Function Spaces,2017,32:80-89. DOI:10.1155/2017/8059578 10 YANG J S.Oscillation criteria for certain third-order variable delay functional dynamic equations on time scales[J].Journal of Applied Mathematics and Computing,2013,43(1/2):445-466.DOI:10.1007/s12190-013-0672-2 11 QIUA Y C,ZADA A,TANGC S,et al.Existence of nonoscillatory solutions to nonlinear third-order neutral dynamic equations on time scales[J].Journal of Nonlinear Sciences and Applications,2017,10:4352-4363.DOI:10.22436/jnsa.010.08.28 12 罗李平,俞元洪,曾云辉.三阶非线性时滞微分方程振动性的新准则[J].应用数学和力学,2013,34(9):941-947.DOI:10.3879/j.issn.1000-0887.2013.09.007 LUO L P,YU Y H,ZENG Y H.New criteria for oscillation of third order nonlinear delay differential equations[J].Applied Mathematics and Mechanics,2013,34(9):941-947.DOI:10.3879/j.issn.1000-0887. 2013.09.007 13 ZHANG C H,AGARWAL R P,BOHNER M,et al.Oscillation of fourth-order delay dynamic equations[J].Science China Mathematics,2015,58:143-160.DOI:10.1007/s10958-014-1990-0 14 YANG J S.Oscillation for n th-order nonlinear neutral delay dynamic equations on time scales[J].Mathematica Applicata,2013,26(4):816-827. 15 HASSAN T S. Asymptotics and oscillation of higher-order functional dynamic equations with Laplacian and deviating arguments[J].Advances in Difference Equations,2017,2:14-26. DOI:10.1186/s13662-016-1065-2 16 覃桂茳,杨甲山.时标上一类二阶非线性动态方程振动性的新准则[J].安徽大学学报(自然科学版),2019,43(1):24-31. DOI:10.1155/2012/743469 QIN G J,YANG J S .New criteria for oscillation of certain second-order nonlinear dynamic equations on time scales[J].Journal of Anhui University (Natural Science Edition),2019,43(1):24-31. DOI:10.1155/2012/743469 17 杨甲山,覃桂茳,覃学文,等.一类二阶Emden-Fowler型微分方程的若干振动条件[J].浙江大学学报(理学版),2019,46(3):302-308. YANG J S,QIN G J,QIN X W,et al. New oscillatory conditions of a class of the second-order Emden-Fowler differential equations[J].Journal of Zhejiang University(Science Edition),2019,46(3):302-308. |
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